Chaotic Dynamics in Nonlinear Theory

Name: Chaotic Dynamics in Nonlinear Theory
Brand: Springer, India, Private Ltd
SKU: 9788132235439
Price: 296.53 RON
Availability: InStock

Autor: Lakshmi Burra

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Legare: Carte broșată

Editura: Springer, India, Private Ltd

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296.53 lei

Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps...

Informații despre carte

Autor

Lakshmi Burra

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

104

EAN

9788132235439

ISBN

8132235436

Enbook ID

13793632

Editura

Springer, India, Private Ltd

Greutate

273

Dimensiuni

155 x 235 x 7

Descriere completă

Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved.

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